Worksheets1st 9 Weeks
Total questions: 139
Worksheet time: 4hrs 6mins
LM
point LM
line LM
line segment LM
ray LM
Name the points on the plane
Points J, K, L
Points D, G, I
Points G, H, K
Points D, F, H
Name a point that is coplanar with line DF but not collinear
G
H
E
Opposite rays are rays that share an endpoint and point in opposite directions. Both rays together form a(n) __________.
Line
Plane
Intersection point
Acute angle
What is the correct name of the plane?
N
n
AE
C
Name the 3 Collinear points on this plane.
C, B, & D
C, B, & A
A, B, & E
E, C, & D
What is the missing value of segment DE?
15
16
44
26
Find the value of TU
-12
32
12
20
19
30
12
43
Solve for X
3
12
4
5
Solve for X
-18
2
6
3
Find the value of HF
11
-7
18
12
∠t = ∠______
∠STV
∠VUT
∠STU
∠VTU
Which is the correct way to name ∠q?
∠RPQ
∠QPR
∠PQR
If T is the midpoint of SU, find x.
3
4
5
2
If DF=9x-39, find EF.
16
58
116
23
Which symbol below indicates congruence?
Select the correct formula for the Segment Addition Postulate.
AB − BC = AC
AB ÷BC = AC
AB + BC = AC
If a line segment has a midpoint, then what can you do to its halves?
set them equal to each other
add them
multiply them
subtract them
Find m∠EFG
37°
18°
56°
19°
If m∠ABC = 103° find x.
(a)
If m∠ABC = 103° find x.
(a)
Given m∠QST = 135°, find the value of x.
x = 26
x = 28
x = 27
x = 29
S is in the interior of ∠TRQ.
If m∠TRS = (4x)°, m∠SRQ = (7x)°, and m∠TRQ = 88°. Find x.
(a)
Name the vertex of the angle.
E
F
D
E, F, and D are vertices
EJ bisects ∠DEF , m∠DEJ=5x+7 , m∠JEF=8x−8 .
Find x.
5
2
6
13
BD bisects ∠ABC , m∠ABD=3x+5 and m∠ABC=2x+30 . Find m∠DBC .
15°
35°
5°
20°
If KM bisects ∠LKJ and m∠JKM=22° find m∠LKM .
22
44
11
68
not enough information given
Solve for x.
2
3
4
5
7.4
x=3/17
x=9
x=3
x= -3
Find the distance between (-12, 1) and (12, -1). Use a calculator to find the square
root and round to the nearest hundredth.
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
Which of the following formulas is the distance formula?
(2x1+x2, 2y1+y2)
(x2−x1)2+(y2−y1)2
a2+b2=c2
x2−x1y2−y1
What is the distance between (-5, 5) and (1, -2)? Use a calculator to find the
square root and round to the nearest tenth.
Find the distance between each pair of points.
(5,9) and (-7,-7)
d=20
d=25
d=10
d=15
√108
3√12
4√27
8√2
6√3
√40
√24
√96
Simplify:
4√75
4√5
12√5
20√3
7√3
Two angles with a sum of 90 degrees
Angles whose measure sum up to 180 degrees.
Vertical
Adjacent
Complementary
Supplementary
What is the measure of the missing angle?
60°
70°
50°
140°
What equation could be used to solve for the missing angle measure?
x + 19 = 180
x + 19 = 19
x + 19 = 60
x + 19 = 90
Find the supplementary angle for 104 degrees...
70 degrees
74 degrees
76 degrees
90° and 90°
∠1 and ∠2 are _____________
Complementary
Supplementary
Adjacent
Vertical
What angle is adjacent and supplementary to angle 5?
∠4
∠1
∠3
∠2
Angle 2 and angle 4 are adjacent?
True
False
Find the value of x.
x = 118
x = 108
x = 28
x = 58
x = 62
Which equation will help you solve for x?
2x=x+9
2x+x+9=180
2x+x+9=90
Adjacent angles share a side and a ____
vertex
ray
geometry
variable
Two vertical angles are opposite each other. One has an angle measure of 55 degrees. What measure does the other angle have?
45 degrees
35 degrees
55 degrees
90 degrees
Angles A and B are COMPLEMENTARY. Angle A has a measure of 30 degrees, what is the angle measure of angle B?
30 degrees
60 degrees
90 degrees
180 degrees
Which angle is a linear pair with ∠1 ?
∠2
∠3
∠4
∠5
∠6
Which angle is a vertical angle to with ∠7 ?
∠1
∠5
∠3
∠6
∠9
∠QRT and ∠TRS are supplementary. Solve for x.
12
15
9
3
∠A and ∠B are
complementary
supplementary
∠7 and ∠8 are _______________
Vertical
Cannot be determined
Adjacent
Supplementary
Linear Pair
Which of the following is NOT TRUE about LINEAR PAIRS?
Measures 180 degrees
Always supplementary
Forming a straight angle
Opposite angles
Which of the following is NOT TRUE about vertical angles?
Vertical angles are opposite angles.
Vertical angles have equal measures.
Vertical angles are always acute.
Vertical Angles are congruent
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
What is the justification?
Definition of congruence
Reflexive Property of Congruence
Segment Addition Postulate
Definition of Midpoint
What is the justification?
Segment Addition Postulate
Definition of Midpoint
Addition Property of Equality
Complement Theorem
What is the justification?
Transitive Property of Equality
Subtraction Property of Equality
Division Property of Equality
Substitution Property of Equality
What is the justification?
Definition of Congruence
Segment Addition Postulate
Transitive Property of Congruence
Definition of Midpoint
Multiplication Property of Equality
Segment Addition Postulate
Definition of Midpoint
Symmetric Property of Congruence
Which property is being used above?
Addition Property
Multiplication Property
Subtraction Property
Division Property
m<AMX + m<XMB = m<AMB
Segment addition postulate
Angle addition postulate
Definition of supplementary angles
Definition of angle bisector
Choose the best option to fill in the blank:
Addition Property of Equality
Subtraction Property of Equality
Substitution Property of Equality
Complementary Angles are Congruent
What reason justifies statement #4?
Definition of Midpoint
Transitive Property
Addition Property
Segment Addition Postulate
Substitution Property
127
52
127
52
12X - 29 = 4X +1
12X - 29 + 4X +1=90
12X - 29 + 4X +1=180
Vertical angles are ________.
supplementary
linear pair
congruent
Identify the given pair of angles.
∠4 and ∠5
Linear pair
Corresponding angles
same-side interior angles
Alternate interior angles
∠4 and ∠6 are same-side interior angles and supplementary. If ∠4 measures 70°, find m∠6 .
70°
110°
10°
180°
∠4 and ∠8 are corresponding angles. If ∠4 measures 70°, what is m∠8?
180°
170°
70°
110°
If the 𝑚∠1 = 40°, what is the measure of ∠7?
40°
130°
50°
140°
Given: 𝒖 ∥ 𝒗
∠6 𝑎𝑛𝑑 ∠2 are called _________.
Vertical angles
Alternate exterior angles
Corresponding angles
Alternate interior angles
Given: 𝒖 ∥ 𝒗
∠1 𝑎𝑛𝑑 ∠8 called _________.
Vertical angles
Alternate exterior angles
Corresponding angles
Alternate interior angles
Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal?
Corresponding angles are congruent.
The vertical angles are always acute.
The sum of the measures of alternate interior angles is 180°.
Interior angles on the same side of the transversal are congruent.
Given two parallel lines cut by a transversal, then a pair of alternate interior angles are ____________.
complementary
parallel
congruent
perpendicular
These are coplanar non-intersecting lines.
Parallel Lines
Transversal
Perpendicular Lines
Skew Lines
What is m∠8 , if m∠2=100° ?
100°
80°
95°
85°
In the figure above, what is the value of ∠B?
60o
20o
100o
120o
Using what you know about vertical angles, Find the measure of angle a.
34°
143°
37°
72°
Name the OPPOSITE RAYS using geometric notation.
FE and FG
EF and FG
FE and FG
What is the midpoint (M) of the segment with endpoints A (10, 3) and B (-4, 0)?
Using the distance formula, show that AM = MB in the previous question. How does your response show the your answer for the midpoint is actually correct.
